Consider the quadratic function y = ax^2 + bx + c, where a, b, and c are real numbers and a ≠ 0. Describe the nature of the discriminant, b^2 - 4ac, for the graphs of y = ax^2 +...

Consider the quadratic function y = ax^2 + bx + c, where a, b, and c are real numbers and a ≠ 0. Describe the nature of the discriminant, b^2 - 4ac, for the graphs of y = ax^2 +...

Is the following statement true for all x, y ∈ R? Justify your answer. |x| + |y| = |x + y|

Why does the absolute value of every real positive number raised to i equal 1?

find the absolute value of the complex number z=-17 A. 34 B.-17 C.0 D.17

need to explain reasoning and have examples and counterexamples

A meteorologist reported yesterday's high and low temperatures were within 7 degrees of the average temperature of sixty degrees for the day. Write an absolute value inequality that models the range...

like if it looks like this [-634]

l 5x+3l -7 < 1 a. x< 3/5 or > 11/5 b. 3/5 < x < 11/5 c. x < -11/5 or x >1 d. -11/5 < x <1

lxl +5 > 11

a. 7i b. 12 c. -3-2i Please show the work so I can understand this. Thank you!

need to explain reasoning and have examples and counterexamples

need to explain reasoning and have examples and counterexamples

-10|8p-10|+3=-57

Some say that to brew an excellent cup of coffee, you must have a brewing temperature of 200 degrees F, plus or minus 5 degrees. Write and solve an equation describing the maximum and minimum brewing...

y= log2|X| I really need to be guided through this with details. The first I did was attempt to do a table of values for y=log2(X) and y=log2(-x) Both tables are...

can you help me through the steps of this problem? please?

If a number has an absolute value equal to 6 what might be that number

need to explain reasoning and have examples and counterexamples

If a number has an absolute value equal to 6 what might be that number

if x=-3 what is the value of lx-4l -x^2